Thanks for the suggestion.
Yes, that is a feature we are planning to add in the next release...that the results window will become visible after a search.
Since Mountain Lion has just been released Bible Analyzer has not been tested on it yet. Since you have it, if you don't mind let us know if you run into any other issues. We do not have it yet.
Developer, Bible Analyzer
But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness. (Rom 4:5 AV)